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研究了一类带有非局部条件二阶微分包含的可控性,在多值函数F(t,x)取凸情形下讨论了上述问题,建立了可控性的充分条件.本文将所讨论的问题转化为集值积分算子的不动点问题,利用Kakutani不动点定理得到可控性. 相似文献
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本文研究具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性.假设多值非线性和脉冲函数满足由非紧性测度表示的正则性条件,利用非紧性测度理论和多值凝聚不动点定理,得到这类微分包含的可控性的充分条件. 相似文献
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带有非局部条件积分微分包含的可控性 总被引:1,自引:1,他引:0
曲绍平 《数学的实践与认识》2007,37(16):157-163
研究了一类带有非局部条件积分微分包含的可控性,利用Kakutani不动点定理和Schauder不动点定理,我们给出了凸和非凸两种情形可控性的充分条件. 相似文献
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张福保 《数学物理学报(A辑)》1996,16(3):294-299
为获得一类微分包含与积分包含的多解存在性定理,我们应用集值映象不动点指数理论把著名的Amann三解定理等多解定理推广到集值映象,我们还用例子说明了所得结果. 相似文献
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本首先证明了一类集值映射的下半连续性。在此基础上给出了Banach空间集值映射的一个连续不动点定理,作为应用,证明了一类微分包含解的存在性。这种方法是全新的。 相似文献
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本文主要在希尔伯特空间中讨论了二阶非线性中立型无限时滞随机微分包含的可控性问题.利用凝聚不动点定理得到了系统可控的一个充分性条件. 相似文献
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本文在一般的Banach空间中研究非凸微分包含的生存问题.我们首先构造出了上述非凸微分包含的一个生存集.然后给出了所构造的生存集的两个应用. 相似文献
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本文研究了集值映象的重合问题,在适当的条件下,我们在文中定义了映象对的重合指数,作为文中结果的应用,我们在文末研究了一类微分包含(即多值边值问题)解的存在性问题。 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献